What is the Least Common Multiple of 89758 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 89758 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 89758 and 89762, than apply into the LCM equation.

GCF(89758,89762) = 2
LCM(89758,89762) = ( 89758 × 89762) / 2
LCM(89758,89762) = 8056857596 / 2
LCM(89758,89762) = 4028428798

Least Common Multiple (LCM) of 89758 and 89762 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89758 and 89762. First we will calculate the prime factors of 89758 and 89762.

Prime Factorization of 89758

Prime Factorization of 89762

Now multiplying the highest exponent prime factors to calculate the LCM of 89758 and 89762.

LCM(89758,89762) = 2¹ × 44879¹ × 37¹ × 1213¹
LCM(89758,89762) = 4028428798