What is the Least Common Multiple of 64053 and 64062?

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 of 64053 and 64062 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64053 and 64062, than apply into the LCM equation.

GCF(64053,64062) = 9
LCM(64053,64062) = ( 64053 × 64062) / 9
LCM(64053,64062) = 4103363286 / 9
LCM(64053,64062) = 455929254

Least Common Multiple (LCM) of 64053 and 64062 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64053 and 64062. First we will calculate the prime factors of 64053 and 64062.

Prime Factorization of 64053

Prime Factorization of 64062

Now multiplying the highest exponent prime factors to calculate the LCM of 64053 and 64062.

LCM(64053,64062) = 3² × 11¹ × 647¹ × 2¹ × 3559¹
LCM(64053,64062) = 455929254