What is the Least Common Multiple of 81950 and 81970?

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 81950 and 81970 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81950 and 81970, than apply into the LCM equation.

GCF(81950,81970) = 10
LCM(81950,81970) = ( 81950 × 81970) / 10
LCM(81950,81970) = 6717441500 / 10
LCM(81950,81970) = 671744150

Least Common Multiple (LCM) of 81950 and 81970 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81950 and 81970. First we will calculate the prime factors of 81950 and 81970.

Prime Factorization of 81950

Prime Factorization of 81970

Now multiplying the highest exponent prime factors to calculate the LCM of 81950 and 81970.

LCM(81950,81970) = 2¹ × 5² × 11¹ × 149¹ × 7¹ × 1171¹
LCM(81950,81970) = 671744150