What is the Least Common Multiple of 60436 and 60451?
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 60436 and 60451 is 3653416636.
LCM(60436,60451) = 3653416636
Least Common Multiple of 60436 and 60451 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60436 and 60451, than apply into the LCM equation.
GCF(60436,60451) = 1
LCM(60436,60451) = ( 60436 × 60451) / 1
LCM(60436,60451) = 3653416636 / 1
LCM(60436,60451) = 3653416636
Least Common Multiple (LCM) of 60436 and 60451 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60436 and 60451. First we will calculate the prime factors of 60436 and 60451.
Prime Factorization of 60436
Prime factors of 60436 are 2, 29, 521. Prime factorization of 60436 in exponential form is:
60436 = 22 × 291 × 5211
Prime Factorization of 60451
Prime factors of 60451 are 61, 991. Prime factorization of 60451 in exponential form is:
60451 = 611 × 9911
Now multiplying the highest exponent prime factors to calculate the LCM of 60436 and 60451.
LCM(60436,60451) = 22 × 291 × 5211 × 611 × 9911
LCM(60436,60451) = 3653416636
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