What is the Least Common Multiple of 98280 and 98288?

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 98280 and 98288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98280 and 98288, than apply into the LCM equation.

GCF(98280,98288) = 8
LCM(98280,98288) = ( 98280 × 98288) / 8
LCM(98280,98288) = 9659744640 / 8
LCM(98280,98288) = 1207468080

Least Common Multiple (LCM) of 98280 and 98288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98280 and 98288. First we will calculate the prime factors of 98280 and 98288.

Prime Factorization of 98280

Prime Factorization of 98288

Now multiplying the highest exponent prime factors to calculate the LCM of 98280 and 98288.

LCM(98280,98288) = 2⁴ × 3³ × 5¹ × 7¹ × 13¹ × 6143¹
LCM(98280,98288) = 1207468080