What is the Least Common Multiple of 23198 and 23202?

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 23198 and 23202 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23198 and 23202, than apply into the LCM equation.

GCF(23198,23202) = 2
LCM(23198,23202) = ( 23198 × 23202) / 2
LCM(23198,23202) = 538239996 / 2
LCM(23198,23202) = 269119998

Least Common Multiple (LCM) of 23198 and 23202 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23198 and 23202. First we will calculate the prime factors of 23198 and 23202.

Prime Factorization of 23198

Prime Factorization of 23202

Now multiplying the highest exponent prime factors to calculate the LCM of 23198 and 23202.

LCM(23198,23202) = 2¹ × 7¹ × 1657¹ × 3² × 1289¹
LCM(23198,23202) = 269119998