What is the Least Common Multiple of 88972 and 88976?

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 88972 and 88976 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88972 and 88976, than apply into the LCM equation.

GCF(88972,88976) = 4
LCM(88972,88976) = ( 88972 × 88976) / 4
LCM(88972,88976) = 7916372672 / 4
LCM(88972,88976) = 1979093168

Least Common Multiple (LCM) of 88972 and 88976 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88972 and 88976. First we will calculate the prime factors of 88972 and 88976.

Prime Factorization of 88972

Prime Factorization of 88976

Now multiplying the highest exponent prime factors to calculate the LCM of 88972 and 88976.

LCM(88972,88976) = 2⁴ × 13¹ × 29¹ × 59¹ × 67¹ × 83¹
LCM(88972,88976) = 1979093168