What is the Least Common Multiple of 88758 and 88762?

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 88758 and 88762 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88758 and 88762, than apply into the LCM equation.

GCF(88758,88762) = 2
LCM(88758,88762) = ( 88758 × 88762) / 2
LCM(88758,88762) = 7878337596 / 2
LCM(88758,88762) = 3939168798

Least Common Multiple (LCM) of 88758 and 88762 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88758 and 88762. First we will calculate the prime factors of 88758 and 88762.

Prime Factorization of 88758

Prime Factorization of 88762

Now multiplying the highest exponent prime factors to calculate the LCM of 88758 and 88762.

LCM(88758,88762) = 2¹ × 3² × 4931¹ × 44381¹
LCM(88758,88762) = 3939168798