What is the Least Common Multiple of 79232 and 79242?

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 79232 and 79242 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79232 and 79242, than apply into the LCM equation.

GCF(79232,79242) = 2
LCM(79232,79242) = ( 79232 × 79242) / 2
LCM(79232,79242) = 6278502144 / 2
LCM(79232,79242) = 3139251072

Least Common Multiple (LCM) of 79232 and 79242 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79232 and 79242. First we will calculate the prime factors of 79232 and 79242.

Prime Factorization of 79232

Prime Factorization of 79242

Now multiplying the highest exponent prime factors to calculate the LCM of 79232 and 79242.

LCM(79232,79242) = 2⁷ × 619¹ × 3¹ × 47¹ × 281¹
LCM(79232,79242) = 3139251072