What is the Least Common Multiple of 97770 and 97784?

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 97770 and 97784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97770 and 97784, than apply into the LCM equation.

GCF(97770,97784) = 2
LCM(97770,97784) = ( 97770 × 97784) / 2
LCM(97770,97784) = 9560341680 / 2
LCM(97770,97784) = 4780170840

Least Common Multiple (LCM) of 97770 and 97784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97770 and 97784. First we will calculate the prime factors of 97770 and 97784.

Prime Factorization of 97770

Prime Factorization of 97784

Now multiplying the highest exponent prime factors to calculate the LCM of 97770 and 97784.

LCM(97770,97784) = 2³ × 3¹ × 5¹ × 3259¹ × 17¹ × 719¹
LCM(97770,97784) = 4780170840