What is the Least Common Multiple of 39974 and 39994?

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 39974 and 39994 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39974 and 39994, than apply into the LCM equation.

GCF(39974,39994) = 2
LCM(39974,39994) = ( 39974 × 39994) / 2
LCM(39974,39994) = 1598720156 / 2
LCM(39974,39994) = 799360078

Least Common Multiple (LCM) of 39974 and 39994 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39974 and 39994. First we will calculate the prime factors of 39974 and 39994.

Prime Factorization of 39974

Prime Factorization of 39994

Now multiplying the highest exponent prime factors to calculate the LCM of 39974 and 39994.

LCM(39974,39994) = 2¹ × 11¹ × 23¹ × 79¹ × 19997¹
LCM(39974,39994) = 799360078