What is the Least Common Multiple of 59655 and 59660?

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 59655 and 59660 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59655 and 59660, than apply into the LCM equation.

GCF(59655,59660) = 5
LCM(59655,59660) = ( 59655 × 59660) / 5
LCM(59655,59660) = 3559017300 / 5
LCM(59655,59660) = 711803460

Least Common Multiple (LCM) of 59655 and 59660 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59655 and 59660. First we will calculate the prime factors of 59655 and 59660.

Prime Factorization of 59655

Prime Factorization of 59660

Now multiplying the highest exponent prime factors to calculate the LCM of 59655 and 59660.

LCM(59655,59660) = 3¹ × 5¹ × 41¹ × 97¹ × 2² × 19¹ × 157¹
LCM(59655,59660) = 711803460