What is the Least Common Multiple of 78462 and 78477?

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 78462 and 78477 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78462 and 78477, than apply into the LCM equation.

GCF(78462,78477) = 3
LCM(78462,78477) = ( 78462 × 78477) / 3
LCM(78462,78477) = 6157462374 / 3
LCM(78462,78477) = 2052487458

Least Common Multiple (LCM) of 78462 and 78477 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78462 and 78477. First we will calculate the prime factors of 78462 and 78477.

Prime Factorization of 78462

Prime Factorization of 78477

Now multiplying the highest exponent prime factors to calculate the LCM of 78462 and 78477.

LCM(78462,78477) = 2¹ × 3³ × 1453¹ × 7¹ × 37¹ × 101¹
LCM(78462,78477) = 2052487458