What is the Least Common Multiple of 91970 and 91985?

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 91970 and 91985 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91970 and 91985, than apply into the LCM equation.

GCF(91970,91985) = 5
LCM(91970,91985) = ( 91970 × 91985) / 5
LCM(91970,91985) = 8459860450 / 5
LCM(91970,91985) = 1691972090

Least Common Multiple (LCM) of 91970 and 91985 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91970 and 91985. First we will calculate the prime factors of 91970 and 91985.

Prime Factorization of 91970

Prime Factorization of 91985

Now multiplying the highest exponent prime factors to calculate the LCM of 91970 and 91985.

LCM(91970,91985) = 2¹ × 5¹ × 17¹ × 541¹ × 18397¹
LCM(91970,91985) = 1691972090