What is the Least Common Multiple of 37446 and 37453?

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 37446 and 37453 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37446 and 37453, than apply into the LCM equation.

GCF(37446,37453) = 1
LCM(37446,37453) = ( 37446 × 37453) / 1
LCM(37446,37453) = 1402465038 / 1
LCM(37446,37453) = 1402465038

Least Common Multiple (LCM) of 37446 and 37453 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37446 and 37453. First we will calculate the prime factors of 37446 and 37453.

Prime Factorization of 37446

Prime Factorization of 37453

Now multiplying the highest exponent prime factors to calculate the LCM of 37446 and 37453.

LCM(37446,37453) = 2¹ × 3¹ × 79² × 13¹ × 43¹ × 67¹
LCM(37446,37453) = 1402465038