What is the Least Common Multiple of 59665 and 59685?

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 59665 and 59685 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59665 and 59685, than apply into the LCM equation.

GCF(59665,59685) = 5
LCM(59665,59685) = ( 59665 × 59685) / 5
LCM(59665,59685) = 3561105525 / 5
LCM(59665,59685) = 712221105

Least Common Multiple (LCM) of 59665 and 59685 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59665 and 59685. First we will calculate the prime factors of 59665 and 59685.

Prime Factorization of 59665

Prime Factorization of 59685

Now multiplying the highest exponent prime factors to calculate the LCM of 59665 and 59685.

LCM(59665,59685) = 5¹ × 11933¹ × 3¹ × 23¹ × 173¹
LCM(59665,59685) = 712221105