What is the Least Common Multiple of 80190 and 80202?

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 80190 and 80202 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80190 and 80202, than apply into the LCM equation.

GCF(80190,80202) = 6
LCM(80190,80202) = ( 80190 × 80202) / 6
LCM(80190,80202) = 6431398380 / 6
LCM(80190,80202) = 1071899730

Least Common Multiple (LCM) of 80190 and 80202 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80190 and 80202. First we will calculate the prime factors of 80190 and 80202.

Prime Factorization of 80190

Prime Factorization of 80202

Now multiplying the highest exponent prime factors to calculate the LCM of 80190 and 80202.

LCM(80190,80202) = 2¹ × 3⁶ × 5¹ × 11¹ × 13367¹
LCM(80190,80202) = 1071899730