What is the Least Common Multiple of 60353 and 60370?
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 60353 and 60370 is 3643510610.
LCM(60353,60370) = 3643510610
Least Common Multiple of 60353 and 60370 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60353 and 60370, than apply into the LCM equation.
GCF(60353,60370) = 1
LCM(60353,60370) = ( 60353 × 60370) / 1
LCM(60353,60370) = 3643510610 / 1
LCM(60353,60370) = 3643510610
Least Common Multiple (LCM) of 60353 and 60370 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60353 and 60370. First we will calculate the prime factors of 60353 and 60370.
Prime Factorization of 60353
Prime factors of 60353 are 60353. Prime factorization of 60353 in exponential form is:
60353 = 603531
Prime Factorization of 60370
Prime factors of 60370 are 2, 5, 6037. Prime factorization of 60370 in exponential form is:
60370 = 21 × 51 × 60371
Now multiplying the highest exponent prime factors to calculate the LCM of 60353 and 60370.
LCM(60353,60370) = 603531 × 21 × 51 × 60371
LCM(60353,60370) = 3643510610
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