What is the Least Common Multiple of 76960 and 76974?

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 76960 and 76974 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76960 and 76974, than apply into the LCM equation.

GCF(76960,76974) = 2
LCM(76960,76974) = ( 76960 × 76974) / 2
LCM(76960,76974) = 5923919040 / 2
LCM(76960,76974) = 2961959520

Least Common Multiple (LCM) of 76960 and 76974 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76960 and 76974. First we will calculate the prime factors of 76960 and 76974.

Prime Factorization of 76960

Prime Factorization of 76974

Now multiplying the highest exponent prime factors to calculate the LCM of 76960 and 76974.

LCM(76960,76974) = 2⁵ × 5¹ × 13¹ × 37¹ × 3¹ × 12829¹
LCM(76960,76974) = 2961959520