What is the Least Common Multiple of 85970 and 85976?

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 85970 and 85976 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85970 and 85976, than apply into the LCM equation.

GCF(85970,85976) = 2
LCM(85970,85976) = ( 85970 × 85976) / 2
LCM(85970,85976) = 7391356720 / 2
LCM(85970,85976) = 3695678360

Least Common Multiple (LCM) of 85970 and 85976 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85970 and 85976. First we will calculate the prime factors of 85970 and 85976.

Prime Factorization of 85970

Prime Factorization of 85976

Now multiplying the highest exponent prime factors to calculate the LCM of 85970 and 85976.

LCM(85970,85976) = 2³ × 5¹ × 8597¹ × 11¹ × 977¹
LCM(85970,85976) = 3695678360