What is the Least Common Multiple of 62643 and 62651?

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 62643 and 62651 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62643 and 62651, than apply into the LCM equation.

GCF(62643,62651) = 1
LCM(62643,62651) = ( 62643 × 62651) / 1
LCM(62643,62651) = 3924646593 / 1
LCM(62643,62651) = 3924646593

Least Common Multiple (LCM) of 62643 and 62651 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62643 and 62651. First we will calculate the prime factors of 62643 and 62651.

Prime Factorization of 62643

Prime Factorization of 62651

Now multiplying the highest exponent prime factors to calculate the LCM of 62643 and 62651.

LCM(62643,62651) = 3¹ × 7¹ × 19¹ × 157¹ × 31¹ × 43¹ × 47¹
LCM(62643,62651) = 3924646593