What is the Least Common Multiple of 70968 and 70977?

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 70968 and 70977 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70968 and 70977, than apply into the LCM equation.

GCF(70968,70977) = 3
LCM(70968,70977) = ( 70968 × 70977) / 3
LCM(70968,70977) = 5037095736 / 3
LCM(70968,70977) = 1679031912

Least Common Multiple (LCM) of 70968 and 70977 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70968 and 70977. First we will calculate the prime factors of 70968 and 70977.

Prime Factorization of 70968

Prime Factorization of 70977

Now multiplying the highest exponent prime factors to calculate the LCM of 70968 and 70977.

LCM(70968,70977) = 2³ × 3¹ × 2957¹ × 59¹ × 401¹
LCM(70968,70977) = 1679031912