What is the Least Common Multiple of 37420 and 37434?

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 37420 and 37434 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37420 and 37434, than apply into the LCM equation.

GCF(37420,37434) = 2
LCM(37420,37434) = ( 37420 × 37434) / 2
LCM(37420,37434) = 1400780280 / 2
LCM(37420,37434) = 700390140

Least Common Multiple (LCM) of 37420 and 37434 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37420 and 37434. First we will calculate the prime factors of 37420 and 37434.

Prime Factorization of 37420

Prime Factorization of 37434

Now multiplying the highest exponent prime factors to calculate the LCM of 37420 and 37434.

LCM(37420,37434) = 2² × 5¹ × 1871¹ × 3¹ × 17¹ × 367¹
LCM(37420,37434) = 700390140