What is the Least Common Multiple of 60604 and 60624?

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 60604 and 60624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60604 and 60624, than apply into the LCM equation.

GCF(60604,60624) = 4
LCM(60604,60624) = ( 60604 × 60624) / 4
LCM(60604,60624) = 3674056896 / 4
LCM(60604,60624) = 918514224

Least Common Multiple (LCM) of 60604 and 60624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60604 and 60624. First we will calculate the prime factors of 60604 and 60624.

Prime Factorization of 60604

Prime Factorization of 60624

Now multiplying the highest exponent prime factors to calculate the LCM of 60604 and 60624.

LCM(60604,60624) = 2⁴ × 109¹ × 139¹ × 3² × 421¹
LCM(60604,60624) = 918514224