What is the Least Common Multiple of 60277 and 60290?
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 60277 and 60290 is 3634100330.
LCM(60277,60290) = 3634100330
Least Common Multiple of 60277 and 60290 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60277 and 60290, than apply into the LCM equation.
GCF(60277,60290) = 1
LCM(60277,60290) = ( 60277 × 60290) / 1
LCM(60277,60290) = 3634100330 / 1
LCM(60277,60290) = 3634100330
Least Common Multiple (LCM) of 60277 and 60290 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60277 and 60290. First we will calculate the prime factors of 60277 and 60290.
Prime Factorization of 60277
Prime factors of 60277 are 7, 79, 109. Prime factorization of 60277 in exponential form is:
60277 = 71 × 791 × 1091
Prime Factorization of 60290
Prime factors of 60290 are 2, 5, 6029. Prime factorization of 60290 in exponential form is:
60290 = 21 × 51 × 60291
Now multiplying the highest exponent prime factors to calculate the LCM of 60277 and 60290.
LCM(60277,60290) = 71 × 791 × 1091 × 21 × 51 × 60291
LCM(60277,60290) = 3634100330
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