What is the Least Common Multiple of 36077 and 36092?

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 36077 and 36092 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36077 and 36092, than apply into the LCM equation.

GCF(36077,36092) = 1
LCM(36077,36092) = ( 36077 × 36092) / 1
LCM(36077,36092) = 1302091084 / 1
LCM(36077,36092) = 1302091084

Least Common Multiple (LCM) of 36077 and 36092 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36077 and 36092. First we will calculate the prime factors of 36077 and 36092.

Prime Factorization of 36077

Prime Factorization of 36092

Now multiplying the highest exponent prime factors to calculate the LCM of 36077 and 36092.

LCM(36077,36092) = 43¹ × 839¹ × 2² × 7¹ × 1289¹
LCM(36077,36092) = 1302091084