What is the Least Common Multiple of 37410 and 37419?

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 37410 and 37419 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37410 and 37419, than apply into the LCM equation.

GCF(37410,37419) = 3
LCM(37410,37419) = ( 37410 × 37419) / 3
LCM(37410,37419) = 1399844790 / 3
LCM(37410,37419) = 466614930

Least Common Multiple (LCM) of 37410 and 37419 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37410 and 37419. First we will calculate the prime factors of 37410 and 37419.

Prime Factorization of 37410

Prime Factorization of 37419

Now multiplying the highest exponent prime factors to calculate the LCM of 37410 and 37419.

LCM(37410,37419) = 2¹ × 3¹ × 5¹ × 29¹ × 43¹ × 12473¹
LCM(37410,37419) = 466614930