What is the Least Common Multiple of 76974 and 76994?

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 76974 and 76994 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76974 and 76994, than apply into the LCM equation.

GCF(76974,76994) = 2
LCM(76974,76994) = ( 76974 × 76994) / 2
LCM(76974,76994) = 5926536156 / 2
LCM(76974,76994) = 2963268078

Least Common Multiple (LCM) of 76974 and 76994 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76974 and 76994. First we will calculate the prime factors of 76974 and 76994.

Prime Factorization of 76974

Prime Factorization of 76994

Now multiplying the highest exponent prime factors to calculate the LCM of 76974 and 76994.

LCM(76974,76994) = 2¹ × 3¹ × 12829¹ × 137¹ × 281¹
LCM(76974,76994) = 2963268078