What is the Least Common Multiple of 79144 and 79148?

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 79144 and 79148 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79144 and 79148, than apply into the LCM equation.

GCF(79144,79148) = 4
LCM(79144,79148) = ( 79144 × 79148) / 4
LCM(79144,79148) = 6264089312 / 4
LCM(79144,79148) = 1566022328

Least Common Multiple (LCM) of 79144 and 79148 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79144 and 79148. First we will calculate the prime factors of 79144 and 79148.

Prime Factorization of 79144

Prime Factorization of 79148

Now multiplying the highest exponent prime factors to calculate the LCM of 79144 and 79148.

LCM(79144,79148) = 2³ × 13¹ × 761¹ × 47¹ × 421¹
LCM(79144,79148) = 1566022328