What is the Least Common Multiple of 79034 and 79042?

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 79034 and 79042 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79034 and 79042, than apply into the LCM equation.

GCF(79034,79042) = 2
LCM(79034,79042) = ( 79034 × 79042) / 2
LCM(79034,79042) = 6247005428 / 2
LCM(79034,79042) = 3123502714

Least Common Multiple (LCM) of 79034 and 79042 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79034 and 79042. First we will calculate the prime factors of 79034 and 79042.

Prime Factorization of 79034

Prime Factorization of 79042

Now multiplying the highest exponent prime factors to calculate the LCM of 79034 and 79042.

LCM(79034,79042) = 2¹ × 43¹ × 919¹ × 39521¹
LCM(79034,79042) = 3123502714