What is the Least Common Multiple of 62793 and 62801?

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 62793 and 62801 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62793 and 62801, than apply into the LCM equation.

GCF(62793,62801) = 1
LCM(62793,62801) = ( 62793 × 62801) / 1
LCM(62793,62801) = 3943463193 / 1
LCM(62793,62801) = 3943463193

Least Common Multiple (LCM) of 62793 and 62801 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62793 and 62801. First we will calculate the prime factors of 62793 and 62801.

Prime Factorization of 62793

Prime Factorization of 62801

Now multiplying the highest exponent prime factors to calculate the LCM of 62793 and 62801.

LCM(62793,62801) = 3² × 6977¹ × 62801¹
LCM(62793,62801) = 3943463193