What is the Least Common Multiple of 60367 and 60386?
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 60367 and 60386 is 3645321662.
LCM(60367,60386) = 3645321662
Least Common Multiple of 60367 and 60386 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60367 and 60386, than apply into the LCM equation.
GCF(60367,60386) = 1
LCM(60367,60386) = ( 60367 × 60386) / 1
LCM(60367,60386) = 3645321662 / 1
LCM(60367,60386) = 3645321662
Least Common Multiple (LCM) of 60367 and 60386 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60367 and 60386. First we will calculate the prime factors of 60367 and 60386.
Prime Factorization of 60367
Prime factors of 60367 are 17, 53, 67. Prime factorization of 60367 in exponential form is:
60367 = 171 × 531 × 671
Prime Factorization of 60386
Prime factors of 60386 are 2, 109, 277. Prime factorization of 60386 in exponential form is:
60386 = 21 × 1091 × 2771
Now multiplying the highest exponent prime factors to calculate the LCM of 60367 and 60386.
LCM(60367,60386) = 171 × 531 × 671 × 21 × 1091 × 2771
LCM(60367,60386) = 3645321662
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