What is the Least Common Multiple of 7954 and 7960?

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 7960 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 7960, than apply into the LCM equation.

GCF(7954,7960) = 2
LCM(7954,7960) = ( 7954 × 7960) / 2
LCM(7954,7960) = 63313840 / 2
LCM(7954,7960) = 31656920

Least Common Multiple (LCM) of 7954 and 7960 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7954 and 7960. First we will calculate the prime factors of 7954 and 7960.

Prime Factorization of 7954

Prime Factorization of 7960

Now multiplying the highest exponent prime factors to calculate the LCM of 7954 and 7960.

LCM(7954,7960) = 2³ × 41¹ × 97¹ × 5¹ × 199¹
LCM(7954,7960) = 31656920