What is the Least Common Multiple of 62986 and 62993?

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 62986 and 62993 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62986 and 62993, than apply into the LCM equation.

GCF(62986,62993) = 7
LCM(62986,62993) = ( 62986 × 62993) / 7
LCM(62986,62993) = 3967677098 / 7
LCM(62986,62993) = 566811014

Least Common Multiple (LCM) of 62986 and 62993 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62986 and 62993. First we will calculate the prime factors of 62986 and 62993.

Prime Factorization of 62986

Prime Factorization of 62993

Now multiplying the highest exponent prime factors to calculate the LCM of 62986 and 62993.

LCM(62986,62993) = 2¹ × 7¹ × 11¹ × 409¹ × 8999¹
LCM(62986,62993) = 566811014