What is the Least Common Multiple of 98040 and 98053?

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 98040 and 98053 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98040 and 98053, than apply into the LCM equation.

GCF(98040,98053) = 1
LCM(98040,98053) = ( 98040 × 98053) / 1
LCM(98040,98053) = 9613116120 / 1
LCM(98040,98053) = 9613116120

Least Common Multiple (LCM) of 98040 and 98053 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98040 and 98053. First we will calculate the prime factors of 98040 and 98053.

Prime Factorization of 98040

Prime Factorization of 98053

Now multiplying the highest exponent prime factors to calculate the LCM of 98040 and 98053.

LCM(98040,98053) = 2³ × 3¹ × 5¹ × 19¹ × 43¹ × 31¹ × 3163¹
LCM(98040,98053) = 9613116120