What is the Least Common Multiple of 88969 and 88980?

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 88969 and 88980 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88969 and 88980, than apply into the LCM equation.

GCF(88969,88980) = 1
LCM(88969,88980) = ( 88969 × 88980) / 1
LCM(88969,88980) = 7916461620 / 1
LCM(88969,88980) = 7916461620

Least Common Multiple (LCM) of 88969 and 88980 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88969 and 88980. First we will calculate the prime factors of 88969 and 88980.

Prime Factorization of 88969

Prime Factorization of 88980

Now multiplying the highest exponent prime factors to calculate the LCM of 88969 and 88980.

LCM(88969,88980) = 88969¹ × 2² × 3¹ × 5¹ × 1483¹
LCM(88969,88980) = 7916461620