What is the Least Common Multiple of 37614 and 37634?

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 37614 and 37634 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37614 and 37634, than apply into the LCM equation.

GCF(37614,37634) = 2
LCM(37614,37634) = ( 37614 × 37634) / 2
LCM(37614,37634) = 1415565276 / 2
LCM(37614,37634) = 707782638

Least Common Multiple (LCM) of 37614 and 37634 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37614 and 37634. First we will calculate the prime factors of 37614 and 37634.

Prime Factorization of 37614

Prime Factorization of 37634

Now multiplying the highest exponent prime factors to calculate the LCM of 37614 and 37634.

LCM(37614,37634) = 2¹ × 3¹ × 6269¹ × 31¹ × 607¹
LCM(37614,37634) = 707782638