What is the Least Common Multiple of 60245 and 60263?
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 60245 and 60263 is 3630544435.
LCM(60245,60263) = 3630544435
Least Common Multiple of 60245 and 60263 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60245 and 60263, than apply into the LCM equation.
GCF(60245,60263) = 1
LCM(60245,60263) = ( 60245 × 60263) / 1
LCM(60245,60263) = 3630544435 / 1
LCM(60245,60263) = 3630544435
Least Common Multiple (LCM) of 60245 and 60263 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60245 and 60263. First we will calculate the prime factors of 60245 and 60263.
Prime Factorization of 60245
Prime factors of 60245 are 5, 12049. Prime factorization of 60245 in exponential form is:
60245 = 51 × 120491
Prime Factorization of 60263
Prime factors of 60263 are 7, 8609. Prime factorization of 60263 in exponential form is:
60263 = 71 × 86091
Now multiplying the highest exponent prime factors to calculate the LCM of 60245 and 60263.
LCM(60245,60263) = 51 × 120491 × 71 × 86091
LCM(60245,60263) = 3630544435
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