What is the Least Common Multiple of 77974 and 77993?

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 77974 and 77993 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77974 and 77993, than apply into the LCM equation.

GCF(77974,77993) = 1
LCM(77974,77993) = ( 77974 × 77993) / 1
LCM(77974,77993) = 6081426182 / 1
LCM(77974,77993) = 6081426182

Least Common Multiple (LCM) of 77974 and 77993 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77974 and 77993. First we will calculate the prime factors of 77974 and 77993.

Prime Factorization of 77974

Prime Factorization of 77993

Now multiplying the highest exponent prime factors to calculate the LCM of 77974 and 77993.

LCM(77974,77993) = 2¹ × 13¹ × 2999¹ × 23¹ × 3391¹
LCM(77974,77993) = 6081426182