What is the Least Common Multiple of 98274 and 98294?

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 98274 and 98294 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98274 and 98294, than apply into the LCM equation.

GCF(98274,98294) = 2
LCM(98274,98294) = ( 98274 × 98294) / 2
LCM(98274,98294) = 9659744556 / 2
LCM(98274,98294) = 4829872278

Least Common Multiple (LCM) of 98274 and 98294 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98274 and 98294. First we will calculate the prime factors of 98274 and 98294.

Prime Factorization of 98274

Prime Factorization of 98294

Now multiplying the highest exponent prime factors to calculate the LCM of 98274 and 98294.

LCM(98274,98294) = 2¹ × 3¹ × 11¹ × 1489¹ × 7² × 17¹ × 59¹
LCM(98274,98294) = 4829872278