What is the Least Common Multiple of 37214 and 37224?

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 37214 and 37224 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37214 and 37224, than apply into the LCM equation.

GCF(37214,37224) = 2
LCM(37214,37224) = ( 37214 × 37224) / 2
LCM(37214,37224) = 1385253936 / 2
LCM(37214,37224) = 692626968

Least Common Multiple (LCM) of 37214 and 37224 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37214 and 37224. First we will calculate the prime factors of 37214 and 37224.

Prime Factorization of 37214

Prime Factorization of 37224

Now multiplying the highest exponent prime factors to calculate the LCM of 37214 and 37224.

LCM(37214,37224) = 2³ × 23¹ × 809¹ × 3² × 11¹ × 47¹
LCM(37214,37224) = 692626968