What is the Least Common Multiple of 60417 and 60427?
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 60417 and 60427 is 3650818059.
LCM(60417,60427) = 3650818059
Least Common Multiple of 60417 and 60427 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60417 and 60427, than apply into the LCM equation.
GCF(60417,60427) = 1
LCM(60417,60427) = ( 60417 × 60427) / 1
LCM(60417,60427) = 3650818059 / 1
LCM(60417,60427) = 3650818059
Least Common Multiple (LCM) of 60417 and 60427 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60417 and 60427. First we will calculate the prime factors of 60417 and 60427.
Prime Factorization of 60417
Prime factors of 60417 are 3, 7, 137. Prime factorization of 60417 in exponential form is:
60417 = 32 × 72 × 1371
Prime Factorization of 60427
Prime factors of 60427 are 60427. Prime factorization of 60427 in exponential form is:
60427 = 604271
Now multiplying the highest exponent prime factors to calculate the LCM of 60417 and 60427.
LCM(60417,60427) = 32 × 72 × 1371 × 604271
LCM(60417,60427) = 3650818059
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