What is the Least Common Multiple of 37849 and 37859?

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 37849 and 37859 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37849 and 37859, than apply into the LCM equation.

GCF(37849,37859) = 1
LCM(37849,37859) = ( 37849 × 37859) / 1
LCM(37849,37859) = 1432925291 / 1
LCM(37849,37859) = 1432925291

Least Common Multiple (LCM) of 37849 and 37859 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37849 and 37859. First we will calculate the prime factors of 37849 and 37859.

Prime Factorization of 37849

Prime Factorization of 37859

Now multiplying the highest exponent prime factors to calculate the LCM of 37849 and 37859.

LCM(37849,37859) = 7¹ × 5407¹ × 17² × 131¹
LCM(37849,37859) = 1432925291