What is the Least Common Multiple of 75950 and 75967?

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 75950 and 75967 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75950 and 75967, than apply into the LCM equation.

GCF(75950,75967) = 1
LCM(75950,75967) = ( 75950 × 75967) / 1
LCM(75950,75967) = 5769693650 / 1
LCM(75950,75967) = 5769693650

Least Common Multiple (LCM) of 75950 and 75967 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75950 and 75967. First we will calculate the prime factors of 75950 and 75967.

Prime Factorization of 75950

Prime Factorization of 75967

Now multiplying the highest exponent prime factors to calculate the LCM of 75950 and 75967.

LCM(75950,75967) = 2¹ × 5² × 7² × 31¹ × 75967¹
LCM(75950,75967) = 5769693650