What is the Least Common Multiple of 89676 and 89680?

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 89676 and 89680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89676 and 89680, than apply into the LCM equation.

GCF(89676,89680) = 4
LCM(89676,89680) = ( 89676 × 89680) / 4
LCM(89676,89680) = 8042143680 / 4
LCM(89676,89680) = 2010535920

Least Common Multiple (LCM) of 89676 and 89680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89676 and 89680. First we will calculate the prime factors of 89676 and 89680.

Prime Factorization of 89676

Prime Factorization of 89680

Now multiplying the highest exponent prime factors to calculate the LCM of 89676 and 89680.

LCM(89676,89680) = 2⁴ × 3² × 47¹ × 53¹ × 5¹ × 19¹ × 59¹
LCM(89676,89680) = 2010535920