What is the Least Common Multiple of 37457 and 37465?

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 37457 and 37465 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37457 and 37465, than apply into the LCM equation.

GCF(37457,37465) = 1
LCM(37457,37465) = ( 37457 × 37465) / 1
LCM(37457,37465) = 1403326505 / 1
LCM(37457,37465) = 1403326505

Least Common Multiple (LCM) of 37457 and 37465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37457 and 37465. First we will calculate the prime factors of 37457 and 37465.

Prime Factorization of 37457

Prime Factorization of 37465

Now multiplying the highest exponent prime factors to calculate the LCM of 37457 and 37465.

LCM(37457,37465) = 7¹ × 5351¹ × 5¹ × 59¹ × 127¹
LCM(37457,37465) = 1403326505