What is the Least Common Multiple of 43498 and 43514?

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 43498 and 43514 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43498 and 43514, than apply into the LCM equation.

GCF(43498,43514) = 2
LCM(43498,43514) = ( 43498 × 43514) / 2
LCM(43498,43514) = 1892771972 / 2
LCM(43498,43514) = 946385986

Least Common Multiple (LCM) of 43498 and 43514 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43498 and 43514. First we will calculate the prime factors of 43498 and 43514.

Prime Factorization of 43498

Prime Factorization of 43514

Now multiplying the highest exponent prime factors to calculate the LCM of 43498 and 43514.

LCM(43498,43514) = 2¹ × 7¹ × 13¹ × 239¹ × 21757¹
LCM(43498,43514) = 946385986