What is the Least Common Multiple of 75674 and 75679?

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 75674 and 75679 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75674 and 75679, than apply into the LCM equation.

GCF(75674,75679) = 1
LCM(75674,75679) = ( 75674 × 75679) / 1
LCM(75674,75679) = 5726932646 / 1
LCM(75674,75679) = 5726932646

Least Common Multiple (LCM) of 75674 and 75679 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75674 and 75679. First we will calculate the prime factors of 75674 and 75679.

Prime Factorization of 75674

Prime Factorization of 75679

Now multiplying the highest exponent prime factors to calculate the LCM of 75674 and 75679.

LCM(75674,75679) = 2¹ × 157¹ × 241¹ × 75679¹
LCM(75674,75679) = 5726932646