What is the Least Common Multiple of 74919 and 74932?

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 74919 and 74932 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74919 and 74932, than apply into the LCM equation.

GCF(74919,74932) = 13
LCM(74919,74932) = ( 74919 × 74932) / 13
LCM(74919,74932) = 5613830508 / 13
LCM(74919,74932) = 431833116

Least Common Multiple (LCM) of 74919 and 74932 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74919 and 74932. First we will calculate the prime factors of 74919 and 74932.

Prime Factorization of 74919

Prime Factorization of 74932

Now multiplying the highest exponent prime factors to calculate the LCM of 74919 and 74932.

LCM(74919,74932) = 3¹ × 13¹ × 17¹ × 113¹ × 2² × 11¹ × 131¹
LCM(74919,74932) = 431833116