What is the Least Common Multiple of 79534 and 79538?

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 79534 and 79538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79534 and 79538, than apply into the LCM equation.

GCF(79534,79538) = 2
LCM(79534,79538) = ( 79534 × 79538) / 2
LCM(79534,79538) = 6325975292 / 2
LCM(79534,79538) = 3162987646

Least Common Multiple (LCM) of 79534 and 79538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79534 and 79538. First we will calculate the prime factors of 79534 and 79538.

Prime Factorization of 79534

Prime Factorization of 79538

Now multiplying the highest exponent prime factors to calculate the LCM of 79534 and 79538.

LCM(79534,79538) = 2¹ × 7¹ × 13¹ × 19¹ × 23¹ × 39769¹
LCM(79534,79538) = 3162987646