What is the Least Common Multiple of 74896 and 74901?

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 74896 and 74901 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74896 and 74901, than apply into the LCM equation.

GCF(74896,74901) = 1
LCM(74896,74901) = ( 74896 × 74901) / 1
LCM(74896,74901) = 5609785296 / 1
LCM(74896,74901) = 5609785296

Least Common Multiple (LCM) of 74896 and 74901 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74896 and 74901. First we will calculate the prime factors of 74896 and 74901.

Prime Factorization of 74896

Prime Factorization of 74901

Now multiplying the highest exponent prime factors to calculate the LCM of 74896 and 74901.

LCM(74896,74901) = 2⁴ × 31¹ × 151¹ × 3¹ × 24967¹
LCM(74896,74901) = 5609785296