What is the Least Common Multiple of 98420 and 98438?

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 98420 and 98438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98420 and 98438, than apply into the LCM equation.

GCF(98420,98438) = 2
LCM(98420,98438) = ( 98420 × 98438) / 2
LCM(98420,98438) = 9688267960 / 2
LCM(98420,98438) = 4844133980

Least Common Multiple (LCM) of 98420 and 98438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98420 and 98438. First we will calculate the prime factors of 98420 and 98438.

Prime Factorization of 98420

Prime Factorization of 98438

Now multiplying the highest exponent prime factors to calculate the LCM of 98420 and 98438.

LCM(98420,98438) = 2² × 5¹ × 7¹ × 19¹ × 37¹ × 83¹ × 593¹
LCM(98420,98438) = 4844133980