What is the Least Common Multiple of 60274 and 60293?
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 60274 and 60293 is 3634100282.
LCM(60274,60293) = 3634100282
Least Common Multiple of 60274 and 60293 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60274 and 60293, than apply into the LCM equation.
GCF(60274,60293) = 1
LCM(60274,60293) = ( 60274 × 60293) / 1
LCM(60274,60293) = 3634100282 / 1
LCM(60274,60293) = 3634100282
Least Common Multiple (LCM) of 60274 and 60293 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60274 and 60293. First we will calculate the prime factors of 60274 and 60293.
Prime Factorization of 60274
Prime factors of 60274 are 2, 30137. Prime factorization of 60274 in exponential form is:
60274 = 21 × 301371
Prime Factorization of 60293
Prime factors of 60293 are 60293. Prime factorization of 60293 in exponential form is:
60293 = 602931
Now multiplying the highest exponent prime factors to calculate the LCM of 60274 and 60293.
LCM(60274,60293) = 21 × 301371 × 602931
LCM(60274,60293) = 3634100282
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