What is the Least Common Multiple of 70541 and 70549?
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 70541 and 70549 is 4976597009.
LCM(70541,70549) = 4976597009
Least Common Multiple of 70541 and 70549 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70541 and 70549, than apply into the LCM equation.
GCF(70541,70549) = 1
LCM(70541,70549) = ( 70541 × 70549) / 1
LCM(70541,70549) = 4976597009 / 1
LCM(70541,70549) = 4976597009
Least Common Multiple (LCM) of 70541 and 70549 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 70541 and 70549. First we will calculate the prime factors of 70541 and 70549.
Prime Factorization of 70541
Prime factors of 70541 are 23, 3067. Prime factorization of 70541 in exponential form is:
70541 = 231 × 30671
Prime Factorization of 70549
Prime factors of 70549 are 70549. Prime factorization of 70549 in exponential form is:
70549 = 705491
Now multiplying the highest exponent prime factors to calculate the LCM of 70541 and 70549.
LCM(70541,70549) = 231 × 30671 × 705491
LCM(70541,70549) = 4976597009
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