What is the Least Common Multiple of 74314 and 74330?

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 74314 and 74330 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74314 and 74330, than apply into the LCM equation.

GCF(74314,74330) = 2
LCM(74314,74330) = ( 74314 × 74330) / 2
LCM(74314,74330) = 5523759620 / 2
LCM(74314,74330) = 2761879810

Least Common Multiple (LCM) of 74314 and 74330 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74314 and 74330. First we will calculate the prime factors of 74314 and 74330.

Prime Factorization of 74314

Prime Factorization of 74330

Now multiplying the highest exponent prime factors to calculate the LCM of 74314 and 74330.

LCM(74314,74330) = 2¹ × 73¹ × 509¹ × 5¹ × 7433¹
LCM(74314,74330) = 2761879810