What is the Least Common Multiple of 97747 and 97765?

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 97747 and 97765 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97747 and 97765, than apply into the LCM equation.

GCF(97747,97765) = 1
LCM(97747,97765) = ( 97747 × 97765) / 1
LCM(97747,97765) = 9556235455 / 1
LCM(97747,97765) = 9556235455

Least Common Multiple (LCM) of 97747 and 97765 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97747 and 97765. First we will calculate the prime factors of 97747 and 97765.

Prime Factorization of 97747

Prime Factorization of 97765

Now multiplying the highest exponent prime factors to calculate the LCM of 97747 and 97765.

LCM(97747,97765) = 13¹ × 73¹ × 103¹ × 5¹ × 19553¹
LCM(97747,97765) = 9556235455