What is the Least Common Multiple of 59748 and 59762?

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 59748 and 59762 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59748 and 59762, than apply into the LCM equation.

GCF(59748,59762) = 2
LCM(59748,59762) = ( 59748 × 59762) / 2
LCM(59748,59762) = 3570659976 / 2
LCM(59748,59762) = 1785329988

Least Common Multiple (LCM) of 59748 and 59762 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59748 and 59762. First we will calculate the prime factors of 59748 and 59762.

Prime Factorization of 59748

Prime Factorization of 59762

Now multiplying the highest exponent prime factors to calculate the LCM of 59748 and 59762.

LCM(59748,59762) = 2² × 3¹ × 13¹ × 383¹ × 29881¹
LCM(59748,59762) = 1785329988