What is the Least Common Multiple of 84185 and 84190?

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 84185 and 84190 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84185 and 84190, than apply into the LCM equation.

GCF(84185,84190) = 5
LCM(84185,84190) = ( 84185 × 84190) / 5
LCM(84185,84190) = 7087535150 / 5
LCM(84185,84190) = 1417507030

Least Common Multiple (LCM) of 84185 and 84190 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84185 and 84190. First we will calculate the prime factors of 84185 and 84190.

Prime Factorization of 84185

Prime Factorization of 84190

Now multiplying the highest exponent prime factors to calculate the LCM of 84185 and 84190.

LCM(84185,84190) = 5¹ × 113¹ × 149¹ × 2¹ × 8419¹
LCM(84185,84190) = 1417507030