What is the Least Common Multiple of 97235 and 97253?

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 97253 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 97253, than apply into the LCM equation.

GCF(97235,97253) = 1
LCM(97235,97253) = ( 97235 × 97253) / 1
LCM(97235,97253) = 9456395455 / 1
LCM(97235,97253) = 9456395455

Least Common Multiple (LCM) of 97235 and 97253 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97235 and 97253. First we will calculate the prime factors of 97235 and 97253.

Prime Factorization of 97235

Prime Factorization of 97253

Now multiplying the highest exponent prime factors to calculate the LCM of 97235 and 97253.

LCM(97235,97253) = 5¹ × 19447¹ × 13¹ × 7481¹
LCM(97235,97253) = 9456395455