What is the Least Common Multiple of 37842 and 37849?

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 37842 and 37849 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37842 and 37849, than apply into the LCM equation.

GCF(37842,37849) = 7
LCM(37842,37849) = ( 37842 × 37849) / 7
LCM(37842,37849) = 1432281858 / 7
LCM(37842,37849) = 204611694

Least Common Multiple (LCM) of 37842 and 37849 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37842 and 37849. First we will calculate the prime factors of 37842 and 37849.

Prime Factorization of 37842

Prime Factorization of 37849

Now multiplying the highest exponent prime factors to calculate the LCM of 37842 and 37849.

LCM(37842,37849) = 2¹ × 3¹ × 7¹ × 17¹ × 53¹ × 5407¹
LCM(37842,37849) = 204611694