What is the Least Common Multiple of 59628 and 59640?

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 59628 and 59640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59628 and 59640, than apply into the LCM equation.

GCF(59628,59640) = 12
LCM(59628,59640) = ( 59628 × 59640) / 12
LCM(59628,59640) = 3556213920 / 12
LCM(59628,59640) = 296351160

Least Common Multiple (LCM) of 59628 and 59640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59628 and 59640. First we will calculate the prime factors of 59628 and 59640.

Prime Factorization of 59628

Prime Factorization of 59640

Now multiplying the highest exponent prime factors to calculate the LCM of 59628 and 59640.

LCM(59628,59640) = 2³ × 3¹ × 4969¹ × 5¹ × 7¹ × 71¹
LCM(59628,59640) = 296351160