What is the Least Common Multiple of 7410 and 7415?

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 7410 and 7415 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7410 and 7415, than apply into the LCM equation.

GCF(7410,7415) = 5
LCM(7410,7415) = ( 7410 × 7415) / 5
LCM(7410,7415) = 54945150 / 5
LCM(7410,7415) = 10989030

Least Common Multiple (LCM) of 7410 and 7415 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7410 and 7415. First we will calculate the prime factors of 7410 and 7415.

Prime Factorization of 7410

Prime Factorization of 7415

Now multiplying the highest exponent prime factors to calculate the LCM of 7410 and 7415.

LCM(7410,7415) = 2¹ × 3¹ × 5¹ × 13¹ × 19¹ × 1483¹
LCM(7410,7415) = 10989030