What is the Least Common Multiple of 76278 and 76290?

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 76278 and 76290 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76278 and 76290, than apply into the LCM equation.

GCF(76278,76290) = 6
LCM(76278,76290) = ( 76278 × 76290) / 6
LCM(76278,76290) = 5819248620 / 6
LCM(76278,76290) = 969874770

Least Common Multiple (LCM) of 76278 and 76290 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76278 and 76290. First we will calculate the prime factors of 76278 and 76290.

Prime Factorization of 76278

Prime Factorization of 76290

Now multiplying the highest exponent prime factors to calculate the LCM of 76278 and 76290.

LCM(76278,76290) = 2¹ × 3¹ × 12713¹ × 5¹ × 2543¹
LCM(76278,76290) = 969874770