What is the Least Common Multiple of 82940 and 82951?

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 82940 and 82951 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82940 and 82951, than apply into the LCM equation.

GCF(82940,82951) = 11
LCM(82940,82951) = ( 82940 × 82951) / 11
LCM(82940,82951) = 6879955940 / 11
LCM(82940,82951) = 625450540

Least Common Multiple (LCM) of 82940 and 82951 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82940 and 82951. First we will calculate the prime factors of 82940 and 82951.

Prime Factorization of 82940

Prime Factorization of 82951

Now multiplying the highest exponent prime factors to calculate the LCM of 82940 and 82951.

LCM(82940,82951) = 2² × 5¹ × 11¹ × 13¹ × 29¹ × 7541¹
LCM(82940,82951) = 625450540