What is the Least Common Multiple of 37326 and 37336?

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 37326 and 37336 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37326 and 37336, than apply into the LCM equation.

GCF(37326,37336) = 2
LCM(37326,37336) = ( 37326 × 37336) / 2
LCM(37326,37336) = 1393603536 / 2
LCM(37326,37336) = 696801768

Least Common Multiple (LCM) of 37326 and 37336 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37326 and 37336. First we will calculate the prime factors of 37326 and 37336.

Prime Factorization of 37326

Prime Factorization of 37336

Now multiplying the highest exponent prime factors to calculate the LCM of 37326 and 37336.

LCM(37326,37336) = 2³ × 3¹ × 6221¹ × 13¹ × 359¹
LCM(37326,37336) = 696801768