What is the Least Common Multiple of 37145 and 37153?

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 37145 and 37153 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37145 and 37153, than apply into the LCM equation.

GCF(37145,37153) = 1
LCM(37145,37153) = ( 37145 × 37153) / 1
LCM(37145,37153) = 1380048185 / 1
LCM(37145,37153) = 1380048185

Least Common Multiple (LCM) of 37145 and 37153 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37145 and 37153. First we will calculate the prime factors of 37145 and 37153.

Prime Factorization of 37145

Prime Factorization of 37153

Now multiplying the highest exponent prime factors to calculate the LCM of 37145 and 37153.

LCM(37145,37153) = 5¹ × 17¹ × 19¹ × 23¹ × 53¹ × 701¹
LCM(37145,37153) = 1380048185