What is the Least Common Multiple of 64080 and 64092?

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 64080 and 64092 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64080 and 64092, than apply into the LCM equation.

GCF(64080,64092) = 12
LCM(64080,64092) = ( 64080 × 64092) / 12
LCM(64080,64092) = 4107015360 / 12
LCM(64080,64092) = 342251280

Least Common Multiple (LCM) of 64080 and 64092 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64080 and 64092. First we will calculate the prime factors of 64080 and 64092.

Prime Factorization of 64080

Prime Factorization of 64092

Now multiplying the highest exponent prime factors to calculate the LCM of 64080 and 64092.

LCM(64080,64092) = 2⁴ × 3² × 5¹ × 89¹ × 7² × 109¹
LCM(64080,64092) = 342251280