What is the Least Common Multiple of 70977 and 70986?

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 70977 and 70986 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70977 and 70986, than apply into the LCM equation.

GCF(70977,70986) = 3
LCM(70977,70986) = ( 70977 × 70986) / 3
LCM(70977,70986) = 5038373322 / 3
LCM(70977,70986) = 1679457774

Least Common Multiple (LCM) of 70977 and 70986 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70977 and 70986. First we will calculate the prime factors of 70977 and 70986.

Prime Factorization of 70977

Prime Factorization of 70986

Now multiplying the highest exponent prime factors to calculate the LCM of 70977 and 70986.

LCM(70977,70986) = 3¹ × 59¹ × 401¹ × 2¹ × 11831¹
LCM(70977,70986) = 1679457774