What is the Least Common Multiple of 7954 and 7966?

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 7954 and 7966 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7954 and 7966, than apply into the LCM equation.

GCF(7954,7966) = 2
LCM(7954,7966) = ( 7954 × 7966) / 2
LCM(7954,7966) = 63361564 / 2
LCM(7954,7966) = 31680782

Least Common Multiple (LCM) of 7954 and 7966 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7954 and 7966. First we will calculate the prime factors of 7954 and 7966.

Prime Factorization of 7954

Prime Factorization of 7966

Now multiplying the highest exponent prime factors to calculate the LCM of 7954 and 7966.

LCM(7954,7966) = 2¹ × 41¹ × 97¹ × 7¹ × 569¹
LCM(7954,7966) = 31680782