What is the Least Common Multiple of 97235 and 97251?

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 97235 and 97251 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97235 and 97251, than apply into the LCM equation.

GCF(97235,97251) = 1
LCM(97235,97251) = ( 97235 × 97251) / 1
LCM(97235,97251) = 9456200985 / 1
LCM(97235,97251) = 9456200985

Least Common Multiple (LCM) of 97235 and 97251 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97235 and 97251. First we will calculate the prime factors of 97235 and 97251.

Prime Factorization of 97235

Prime Factorization of 97251

Now multiplying the highest exponent prime factors to calculate the LCM of 97235 and 97251.

LCM(97235,97251) = 5¹ × 19447¹ × 3¹ × 7¹ × 11¹ × 421¹
LCM(97235,97251) = 9456200985