What is the Least Common Multiple of 70956 and 70971?

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 70956 and 70971 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70956 and 70971, than apply into the LCM equation.

GCF(70956,70971) = 3
LCM(70956,70971) = ( 70956 × 70971) / 3
LCM(70956,70971) = 5035818276 / 3
LCM(70956,70971) = 1678606092

Least Common Multiple (LCM) of 70956 and 70971 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70956 and 70971. First we will calculate the prime factors of 70956 and 70971.

Prime Factorization of 70956

Prime Factorization of 70971

Now multiplying the highest exponent prime factors to calculate the LCM of 70956 and 70971.

LCM(70956,70971) = 2² × 3⁵ × 73¹ × 41¹ × 577¹
LCM(70956,70971) = 1678606092