What is the Least Common Multiple of 67083 and 67098?
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 (LCM) of 67083 and 67098 is 1500378378.
LCM(67083,67098) = 1500378378
Least Common Multiple of 67083 and 67098 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67083 and 67098, than apply into the LCM equation.
GCF(67083,67098) = 3
LCM(67083,67098) = ( 67083 × 67098) / 3
LCM(67083,67098) = 4501135134 / 3
LCM(67083,67098) = 1500378378
Least Common Multiple (LCM) of 67083 and 67098 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67083 and 67098. First we will calculate the prime factors of 67083 and 67098.
Prime Factorization of 67083
Prime factors of 67083 are 3, 59, 379. Prime factorization of 67083 in exponential form is:
67083 = 31 × 591 × 3791
Prime Factorization of 67098
Prime factors of 67098 are 2, 3, 53, 211. Prime factorization of 67098 in exponential form is:
67098 = 21 × 31 × 531 × 2111
Now multiplying the highest exponent prime factors to calculate the LCM of 67083 and 67098.
LCM(67083,67098) = 31 × 591 × 3791 × 21 × 531 × 2111
LCM(67083,67098) = 1500378378
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