What is the Least Common Multiple of 37245 and 37253?

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 37245 and 37253 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37245 and 37253, than apply into the LCM equation.

GCF(37245,37253) = 1
LCM(37245,37253) = ( 37245 × 37253) / 1
LCM(37245,37253) = 1387487985 / 1
LCM(37245,37253) = 1387487985

Least Common Multiple (LCM) of 37245 and 37253 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37245 and 37253. First we will calculate the prime factors of 37245 and 37253.

Prime Factorization of 37245

Prime Factorization of 37253

Now multiplying the highest exponent prime factors to calculate the LCM of 37245 and 37253.

LCM(37245,37253) = 3¹ × 5¹ × 13¹ × 191¹ × 37253¹
LCM(37245,37253) = 1387487985