What is the Least Common Multiple of 54834 and 54840?
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 54834 and 54840 is 501182760.
LCM(54834,54840) = 501182760
Least Common Multiple of 54834 and 54840 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54834 and 54840, than apply into the LCM equation.
GCF(54834,54840) = 6
LCM(54834,54840) = ( 54834 × 54840) / 6
LCM(54834,54840) = 3007096560 / 6
LCM(54834,54840) = 501182760
Least Common Multiple (LCM) of 54834 and 54840 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54834 and 54840. First we will calculate the prime factors of 54834 and 54840.
Prime Factorization of 54834
Prime factors of 54834 are 2, 3, 13, 19, 37. Prime factorization of 54834 in exponential form is:
54834 = 21 × 31 × 131 × 191 × 371
Prime Factorization of 54840
Prime factors of 54840 are 2, 3, 5, 457. Prime factorization of 54840 in exponential form is:
54840 = 23 × 31 × 51 × 4571
Now multiplying the highest exponent prime factors to calculate the LCM of 54834 and 54840.
LCM(54834,54840) = 23 × 31 × 131 × 191 × 371 × 51 × 4571
LCM(54834,54840) = 501182760
Related Least Common Multiples of 54834
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Related Least Common Multiples of 54840
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