What is the Least Common Multiple of 67624 and 67642?

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 67624 and 67642 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67624 and 67642, than apply into the LCM equation.

GCF(67624,67642) = 2
LCM(67624,67642) = ( 67624 × 67642) / 2
LCM(67624,67642) = 4574222608 / 2
LCM(67624,67642) = 2287111304

Least Common Multiple (LCM) of 67624 and 67642 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67624 and 67642. First we will calculate the prime factors of 67624 and 67642.

Prime Factorization of 67624

Prime Factorization of 67642

Now multiplying the highest exponent prime factors to calculate the LCM of 67624 and 67642.

LCM(67624,67642) = 2³ × 79¹ × 107¹ × 31¹ × 1091¹
LCM(67624,67642) = 2287111304