What is the Least Common Multiple of 74974 and 74992?

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 74974 and 74992 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74974 and 74992, than apply into the LCM equation.

GCF(74974,74992) = 2
LCM(74974,74992) = ( 74974 × 74992) / 2
LCM(74974,74992) = 5622450208 / 2
LCM(74974,74992) = 2811225104

Least Common Multiple (LCM) of 74974 and 74992 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74974 and 74992. First we will calculate the prime factors of 74974 and 74992.

Prime Factorization of 74974

Prime Factorization of 74992

Now multiplying the highest exponent prime factors to calculate the LCM of 74974 and 74992.

LCM(74974,74992) = 2⁴ × 19¹ × 1973¹ × 43¹ × 109¹
LCM(74974,74992) = 2811225104