What is the Least Common Multiple of 541 and 546?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 541 and 546 is 295386.
LCM(541,546) = 295386
Least Common Multiple of 541 and 546 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 541 and 546, than apply into the LCM equation.
GCF(541,546) = 1
LCM(541,546) = ( 541 × 546) / 1
LCM(541,546) = 295386 / 1
LCM(541,546) = 295386
Least Common Multiple (LCM) of 541 and 546 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 541 and 546. First we will calculate the prime factors of 541 and 546.
Prime Factorization of 541
Prime factors of 541 are 541. Prime factorization of 541 in exponential form is:
541 = 5411
Prime Factorization of 546
Prime factors of 546 are 2, 3, 7, 13. Prime factorization of 546 in exponential form is:
546 = 21 × 31 × 71 × 131
Now multiplying the highest exponent prime factors to calculate the LCM of 541 and 546.
LCM(541,546) = 5411 × 21 × 31 × 71 × 131
LCM(541,546) = 295386
Related Least Common Multiples of 541
- LCM of 541 and 545
- LCM of 541 and 546
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- LCM of 541 and 550
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Related Least Common Multiples of 546
- LCM of 546 and 550
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- LCM of 546 and 553
- LCM of 546 and 554
- LCM of 546 and 555
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