What is the Least Common Multiple of 78954 and 78970?

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 78954 and 78970 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78954 and 78970, than apply into the LCM equation.

GCF(78954,78970) = 2
LCM(78954,78970) = ( 78954 × 78970) / 2
LCM(78954,78970) = 6234997380 / 2
LCM(78954,78970) = 3117498690

Least Common Multiple (LCM) of 78954 and 78970 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78954 and 78970. First we will calculate the prime factors of 78954 and 78970.

Prime Factorization of 78954

Prime Factorization of 78970

Now multiplying the highest exponent prime factors to calculate the LCM of 78954 and 78970.

LCM(78954,78970) = 2¹ × 3¹ × 13159¹ × 5¹ × 53¹ × 149¹
LCM(78954,78970) = 3117498690