What is the Least Common Multiple of 7391 and 7410?

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 7391 and 7410 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7391 and 7410, than apply into the LCM equation.

GCF(7391,7410) = 19
LCM(7391,7410) = ( 7391 × 7410) / 19
LCM(7391,7410) = 54767310 / 19
LCM(7391,7410) = 2882490

Least Common Multiple (LCM) of 7391 and 7410 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7391 and 7410. First we will calculate the prime factors of 7391 and 7410.

Prime Factorization of 7391

Prime Factorization of 7410

Now multiplying the highest exponent prime factors to calculate the LCM of 7391 and 7410.

LCM(7391,7410) = 19¹ × 389¹ × 2¹ × 3¹ × 5¹ × 13¹
LCM(7391,7410) = 2882490