What is the Least Common Multiple of 37435 and 37446?

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 37435 and 37446 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37435 and 37446, than apply into the LCM equation.

GCF(37435,37446) = 1
LCM(37435,37446) = ( 37435 × 37446) / 1
LCM(37435,37446) = 1401791010 / 1
LCM(37435,37446) = 1401791010

Least Common Multiple (LCM) of 37435 and 37446 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37435 and 37446. First we will calculate the prime factors of 37435 and 37446.

Prime Factorization of 37435

Prime Factorization of 37446

Now multiplying the highest exponent prime factors to calculate the LCM of 37435 and 37446.

LCM(37435,37446) = 5¹ × 7487¹ × 2¹ × 3¹ × 79²
LCM(37435,37446) = 1401791010