What is the Least Common Multiple of 59852 and 59860?

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 59852 and 59860 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59852 and 59860, than apply into the LCM equation.

GCF(59852,59860) = 4
LCM(59852,59860) = ( 59852 × 59860) / 4
LCM(59852,59860) = 3582740720 / 4
LCM(59852,59860) = 895685180

Least Common Multiple (LCM) of 59852 and 59860 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59852 and 59860. First we will calculate the prime factors of 59852 and 59860.

Prime Factorization of 59852

Prime Factorization of 59860

Now multiplying the highest exponent prime factors to calculate the LCM of 59852 and 59860.

LCM(59852,59860) = 2² × 13¹ × 1151¹ × 5¹ × 41¹ × 73¹
LCM(59852,59860) = 895685180