What is the Least Common Multiple of 92540 and 92547?

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 92540 and 92547 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92540 and 92547, than apply into the LCM equation.

GCF(92540,92547) = 7
LCM(92540,92547) = ( 92540 × 92547) / 7
LCM(92540,92547) = 8564299380 / 7
LCM(92540,92547) = 1223471340

Least Common Multiple (LCM) of 92540 and 92547 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92540 and 92547. First we will calculate the prime factors of 92540 and 92547.

Prime Factorization of 92540

Prime Factorization of 92547

Now multiplying the highest exponent prime factors to calculate the LCM of 92540 and 92547.

LCM(92540,92547) = 2² × 5¹ × 7¹ × 661¹ × 3² × 13¹ × 113¹
LCM(92540,92547) = 1223471340