What is the Least Common Multiple of 7456 and 7470?

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 7456 and 7470 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7456 and 7470, than apply into the LCM equation.

GCF(7456,7470) = 2
LCM(7456,7470) = ( 7456 × 7470) / 2
LCM(7456,7470) = 55696320 / 2
LCM(7456,7470) = 27848160

Least Common Multiple (LCM) of 7456 and 7470 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7456 and 7470. First we will calculate the prime factors of 7456 and 7470.

Prime Factorization of 7456

Prime Factorization of 7470

Now multiplying the highest exponent prime factors to calculate the LCM of 7456 and 7470.

LCM(7456,7470) = 2⁵ × 233¹ × 3² × 5¹ × 83¹
LCM(7456,7470) = 27848160