What is the Least Common Multiple of 76269 and 76278?

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 76269 and 76278 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76269 and 76278, than apply into the LCM equation.

GCF(76269,76278) = 3
LCM(76269,76278) = ( 76269 × 76278) / 3
LCM(76269,76278) = 5817646782 / 3
LCM(76269,76278) = 1939215594

Least Common Multiple (LCM) of 76269 and 76278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76269 and 76278. First we will calculate the prime factors of 76269 and 76278.

Prime Factorization of 76269

Prime Factorization of 76278

Now multiplying the highest exponent prime factors to calculate the LCM of 76269 and 76278.

LCM(76269,76278) = 3¹ × 25423¹ × 2¹ × 12713¹
LCM(76269,76278) = 1939215594