What is the Least Common Multiple of 37870 and 37883?

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 37870 and 37883 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37870 and 37883, than apply into the LCM equation.

GCF(37870,37883) = 1
LCM(37870,37883) = ( 37870 × 37883) / 1
LCM(37870,37883) = 1434629210 / 1
LCM(37870,37883) = 1434629210

Least Common Multiple (LCM) of 37870 and 37883 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37870 and 37883. First we will calculate the prime factors of 37870 and 37883.

Prime Factorization of 37870

Prime Factorization of 37883

Now multiplying the highest exponent prime factors to calculate the LCM of 37870 and 37883.

LCM(37870,37883) = 2¹ × 5¹ × 7¹ × 541¹ × 43¹ × 881¹
LCM(37870,37883) = 1434629210