What is the Least Common Multiple of 60287 and 60303?
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 60287 and 60303 is 3635486961.
LCM(60287,60303) = 3635486961
Least Common Multiple of 60287 and 60303 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60287 and 60303, than apply into the LCM equation.
GCF(60287,60303) = 1
LCM(60287,60303) = ( 60287 × 60303) / 1
LCM(60287,60303) = 3635486961 / 1
LCM(60287,60303) = 3635486961
Least Common Multiple (LCM) of 60287 and 60303 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60287 and 60303. First we will calculate the prime factors of 60287 and 60303.
Prime Factorization of 60287
Prime factors of 60287 are 19, 167. Prime factorization of 60287 in exponential form is:
60287 = 192 × 1671
Prime Factorization of 60303
Prime factors of 60303 are 3, 20101. Prime factorization of 60303 in exponential form is:
60303 = 31 × 201011
Now multiplying the highest exponent prime factors to calculate the LCM of 60287 and 60303.
LCM(60287,60303) = 192 × 1671 × 31 × 201011
LCM(60287,60303) = 3635486961
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