What is the Least Common Multiple of 87190 and 87202?

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 87190 and 87202 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87190 and 87202, than apply into the LCM equation.

GCF(87190,87202) = 2
LCM(87190,87202) = ( 87190 × 87202) / 2
LCM(87190,87202) = 7603142380 / 2
LCM(87190,87202) = 3801571190

Least Common Multiple (LCM) of 87190 and 87202 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87190 and 87202. First we will calculate the prime factors of 87190 and 87202.

Prime Factorization of 87190

Prime Factorization of 87202

Now multiplying the highest exponent prime factors to calculate the LCM of 87190 and 87202.

LCM(87190,87202) = 2¹ × 5¹ × 8719¹ × 59¹ × 739¹
LCM(87190,87202) = 3801571190