What is the Least Common Multiple of 37029 and 37042?

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 37029 and 37042 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37029 and 37042, than apply into the LCM equation.

GCF(37029,37042) = 1
LCM(37029,37042) = ( 37029 × 37042) / 1
LCM(37029,37042) = 1371628218 / 1
LCM(37029,37042) = 1371628218

Least Common Multiple (LCM) of 37029 and 37042 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37029 and 37042. First we will calculate the prime factors of 37029 and 37042.

Prime Factorization of 37029

Prime Factorization of 37042

Now multiplying the highest exponent prime factors to calculate the LCM of 37029 and 37042.

LCM(37029,37042) = 3¹ × 12343¹ × 2¹ × 18521¹
LCM(37029,37042) = 1371628218