What is the Least Common Multiple of 54612 and 54629?
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 54612 and 54629 is 2983398948.
LCM(54612,54629) = 2983398948
Least Common Multiple of 54612 and 54629 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54612 and 54629, than apply into the LCM equation.
GCF(54612,54629) = 1
LCM(54612,54629) = ( 54612 × 54629) / 1
LCM(54612,54629) = 2983398948 / 1
LCM(54612,54629) = 2983398948
Least Common Multiple (LCM) of 54612 and 54629 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54612 and 54629. First we will calculate the prime factors of 54612 and 54629.
Prime Factorization of 54612
Prime factors of 54612 are 2, 3, 37, 41. Prime factorization of 54612 in exponential form is:
54612 = 22 × 32 × 371 × 411
Prime Factorization of 54629
Prime factors of 54629 are 54629. Prime factorization of 54629 in exponential form is:
54629 = 546291
Now multiplying the highest exponent prime factors to calculate the LCM of 54612 and 54629.
LCM(54612,54629) = 22 × 32 × 371 × 411 × 546291
LCM(54612,54629) = 2983398948
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