What is the Least Common Multiple of 7362 and 7376?

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 7362 and 7376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7362 and 7376, than apply into the LCM equation.

GCF(7362,7376) = 2
LCM(7362,7376) = ( 7362 × 7376) / 2
LCM(7362,7376) = 54302112 / 2
LCM(7362,7376) = 27151056

Least Common Multiple (LCM) of 7362 and 7376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7362 and 7376. First we will calculate the prime factors of 7362 and 7376.

Prime Factorization of 7362

Prime Factorization of 7376

Now multiplying the highest exponent prime factors to calculate the LCM of 7362 and 7376.

LCM(7362,7376) = 2⁴ × 3² × 409¹ × 461¹
LCM(7362,7376) = 27151056