What is the Least Common Multiple of 89748 and 89762?

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 89748 and 89762 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89748 and 89762, than apply into the LCM equation.

GCF(89748,89762) = 2
LCM(89748,89762) = ( 89748 × 89762) / 2
LCM(89748,89762) = 8055959976 / 2
LCM(89748,89762) = 4027979988

Least Common Multiple (LCM) of 89748 and 89762 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89748 and 89762. First we will calculate the prime factors of 89748 and 89762.

Prime Factorization of 89748

Prime Factorization of 89762

Now multiplying the highest exponent prime factors to calculate the LCM of 89748 and 89762.

LCM(89748,89762) = 2² × 3⁴ × 277¹ × 37¹ × 1213¹
LCM(89748,89762) = 4027979988