What is the Least Common Multiple of 76950 and 76969?

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 76969 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 76969, than apply into the LCM equation.

GCF(76950,76969) = 19
LCM(76950,76969) = ( 76950 × 76969) / 19
LCM(76950,76969) = 5922764550 / 19
LCM(76950,76969) = 311724450

Least Common Multiple (LCM) of 76950 and 76969 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76950 and 76969. First we will calculate the prime factors of 76950 and 76969.

Prime Factorization of 76950

Prime Factorization of 76969

Now multiplying the highest exponent prime factors to calculate the LCM of 76950 and 76969.

LCM(76950,76969) = 2¹ × 3⁴ × 5² × 19¹ × 4051¹
LCM(76950,76969) = 311724450