What is the Least Common Multiple of 97086 and 97101?

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 97086 and 97101 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97086 and 97101, than apply into the LCM equation.

GCF(97086,97101) = 3
LCM(97086,97101) = ( 97086 × 97101) / 3
LCM(97086,97101) = 9427147686 / 3
LCM(97086,97101) = 3142382562

Least Common Multiple (LCM) of 97086 and 97101 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97086 and 97101. First we will calculate the prime factors of 97086 and 97101.

Prime Factorization of 97086

Prime Factorization of 97101

Now multiplying the highest exponent prime factors to calculate the LCM of 97086 and 97101.

LCM(97086,97101) = 2¹ × 3² × 11¹ × 1471¹ × 10789¹
LCM(97086,97101) = 3142382562