What is the Least Common Multiple of 7430 and 7435?

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 7430 and 7435 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7430 and 7435, than apply into the LCM equation.

GCF(7430,7435) = 5
LCM(7430,7435) = ( 7430 × 7435) / 5
LCM(7430,7435) = 55242050 / 5
LCM(7430,7435) = 11048410

Least Common Multiple (LCM) of 7430 and 7435 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7430 and 7435. First we will calculate the prime factors of 7430 and 7435.

Prime Factorization of 7430

Prime Factorization of 7435

Now multiplying the highest exponent prime factors to calculate the LCM of 7430 and 7435.

LCM(7430,7435) = 2¹ × 5¹ × 743¹ × 1487¹
LCM(7430,7435) = 11048410