What is the Least Common Multiple of 71190 and 71206?

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 71190 and 71206 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71190 and 71206, than apply into the LCM equation.

GCF(71190,71206) = 2
LCM(71190,71206) = ( 71190 × 71206) / 2
LCM(71190,71206) = 5069155140 / 2
LCM(71190,71206) = 2534577570

Least Common Multiple (LCM) of 71190 and 71206 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71190 and 71206. First we will calculate the prime factors of 71190 and 71206.

Prime Factorization of 71190

Prime Factorization of 71206

Now multiplying the highest exponent prime factors to calculate the LCM of 71190 and 71206.

LCM(71190,71206) = 2¹ × 3² × 5¹ × 7¹ × 113¹ × 35603¹
LCM(71190,71206) = 2534577570