What is the Least Common Multiple of 78226 and 78237?

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 78226 and 78237 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78226 and 78237, than apply into the LCM equation.

GCF(78226,78237) = 1
LCM(78226,78237) = ( 78226 × 78237) / 1
LCM(78226,78237) = 6120167562 / 1
LCM(78226,78237) = 6120167562

Least Common Multiple (LCM) of 78226 and 78237 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78226 and 78237. First we will calculate the prime factors of 78226 and 78237.

Prime Factorization of 78226

Prime Factorization of 78237

Now multiplying the highest exponent prime factors to calculate the LCM of 78226 and 78237.

LCM(78226,78237) = 2¹ × 39113¹ × 3² × 8693¹
LCM(78226,78237) = 6120167562