What is the Least Common Multiple of 76138 and 76154?

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 76138 and 76154 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76138 and 76154, than apply into the LCM equation.

GCF(76138,76154) = 2
LCM(76138,76154) = ( 76138 × 76154) / 2
LCM(76138,76154) = 5798213252 / 2
LCM(76138,76154) = 2899106626

Least Common Multiple (LCM) of 76138 and 76154 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76138 and 76154. First we will calculate the prime factors of 76138 and 76154.

Prime Factorization of 76138

Prime Factorization of 76154

Now multiplying the highest exponent prime factors to calculate the LCM of 76138 and 76154.

LCM(76138,76154) = 2¹ × 38069¹ × 13¹ × 29¹ × 101¹
LCM(76138,76154) = 2899106626