What is the Least Common Multiple of 59064 and 59070?

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 59064 and 59070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59064 and 59070, than apply into the LCM equation.

GCF(59064,59070) = 6
LCM(59064,59070) = ( 59064 × 59070) / 6
LCM(59064,59070) = 3488910480 / 6
LCM(59064,59070) = 581485080

Least Common Multiple (LCM) of 59064 and 59070 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59064 and 59070. First we will calculate the prime factors of 59064 and 59070.

Prime Factorization of 59064

Prime Factorization of 59070

Now multiplying the highest exponent prime factors to calculate the LCM of 59064 and 59070.

LCM(59064,59070) = 2³ × 3¹ × 23¹ × 107¹ × 5¹ × 11¹ × 179¹
LCM(59064,59070) = 581485080