What is the Least Common Multiple of 60361 and 60366?
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 60361 and 60366 is 3643752126.
LCM(60361,60366) = 3643752126
Least Common Multiple of 60361 and 60366 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60361 and 60366, than apply into the LCM equation.
GCF(60361,60366) = 1
LCM(60361,60366) = ( 60361 × 60366) / 1
LCM(60361,60366) = 3643752126 / 1
LCM(60361,60366) = 3643752126
Least Common Multiple (LCM) of 60361 and 60366 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60361 and 60366. First we will calculate the prime factors of 60361 and 60366.
Prime Factorization of 60361
Prime factors of 60361 are 7, 8623. Prime factorization of 60361 in exponential form is:
60361 = 71 × 86231
Prime Factorization of 60366
Prime factors of 60366 are 2, 3, 10061. Prime factorization of 60366 in exponential form is:
60366 = 21 × 31 × 100611
Now multiplying the highest exponent prime factors to calculate the LCM of 60361 and 60366.
LCM(60361,60366) = 71 × 86231 × 21 × 31 × 100611
LCM(60361,60366) = 3643752126
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