What is the Least Common Multiple of 31380 and 31390?

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 31380 and 31390 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31380 and 31390, than apply into the LCM equation.

GCF(31380,31390) = 10
LCM(31380,31390) = ( 31380 × 31390) / 10
LCM(31380,31390) = 985018200 / 10
LCM(31380,31390) = 98501820

Least Common Multiple (LCM) of 31380 and 31390 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31380 and 31390. First we will calculate the prime factors of 31380 and 31390.

Prime Factorization of 31380

Prime Factorization of 31390

Now multiplying the highest exponent prime factors to calculate the LCM of 31380 and 31390.

LCM(31380,31390) = 2² × 3¹ × 5¹ × 523¹ × 43¹ × 73¹
LCM(31380,31390) = 98501820