What is the Least Common Multiple of 37820 and 37840?

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 37820 and 37840 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37820 and 37840, than apply into the LCM equation.

GCF(37820,37840) = 20
LCM(37820,37840) = ( 37820 × 37840) / 20
LCM(37820,37840) = 1431108800 / 20
LCM(37820,37840) = 71555440

Least Common Multiple (LCM) of 37820 and 37840 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37820 and 37840. First we will calculate the prime factors of 37820 and 37840.

Prime Factorization of 37820

Prime Factorization of 37840

Now multiplying the highest exponent prime factors to calculate the LCM of 37820 and 37840.

LCM(37820,37840) = 2⁴ × 5¹ × 31¹ × 61¹ × 11¹ × 43¹
LCM(37820,37840) = 71555440