What is the Least Common Multiple of 76950 and 76965?

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 76950 and 76965 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76950 and 76965, than apply into the LCM equation.

GCF(76950,76965) = 15
LCM(76950,76965) = ( 76950 × 76965) / 15
LCM(76950,76965) = 5922456750 / 15
LCM(76950,76965) = 394830450

Least Common Multiple (LCM) of 76950 and 76965 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76950 and 76965. First we will calculate the prime factors of 76950 and 76965.

Prime Factorization of 76950

Prime Factorization of 76965

Now multiplying the highest exponent prime factors to calculate the LCM of 76950 and 76965.

LCM(76950,76965) = 2¹ × 3⁴ × 5² × 19¹ × 7¹ × 733¹
LCM(76950,76965) = 394830450