What is the Least Common Multiple of 76940 and 76949?

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 76940 and 76949 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76940 and 76949, than apply into the LCM equation.

GCF(76940,76949) = 1
LCM(76940,76949) = ( 76940 × 76949) / 1
LCM(76940,76949) = 5920456060 / 1
LCM(76940,76949) = 5920456060

Least Common Multiple (LCM) of 76940 and 76949 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76940 and 76949. First we will calculate the prime factors of 76940 and 76949.

Prime Factorization of 76940

Prime Factorization of 76949

Now multiplying the highest exponent prime factors to calculate the LCM of 76940 and 76949.

LCM(76940,76949) = 2² × 5¹ × 3847¹ × 76949¹
LCM(76940,76949) = 5920456060