What is the Least Common Multiple of 37870 and 37887?

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 37887 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 37887, than apply into the LCM equation.

GCF(37870,37887) = 1
LCM(37870,37887) = ( 37870 × 37887) / 1
LCM(37870,37887) = 1434780690 / 1
LCM(37870,37887) = 1434780690

Least Common Multiple (LCM) of 37870 and 37887 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37870 and 37887. First we will calculate the prime factors of 37870 and 37887.

Prime Factorization of 37870

Prime Factorization of 37887

Now multiplying the highest exponent prime factors to calculate the LCM of 37870 and 37887.

LCM(37870,37887) = 2¹ × 5¹ × 7¹ × 541¹ × 3¹ × 73¹ × 173¹
LCM(37870,37887) = 1434780690