What is the Least Common Multiple of 77230 and 77234?

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 77230 and 77234 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77230 and 77234, than apply into the LCM equation.

GCF(77230,77234) = 2
LCM(77230,77234) = ( 77230 × 77234) / 2
LCM(77230,77234) = 5964781820 / 2
LCM(77230,77234) = 2982390910

Least Common Multiple (LCM) of 77230 and 77234 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77230 and 77234. First we will calculate the prime factors of 77230 and 77234.

Prime Factorization of 77230

Prime Factorization of 77234

Now multiplying the highest exponent prime factors to calculate the LCM of 77230 and 77234.

LCM(77230,77234) = 2¹ × 5¹ × 7723¹ × 23² × 73¹
LCM(77230,77234) = 2982390910