What is the Least Common Multiple of 62072 and 62081?
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 62072 and 62081 is 3853491832.
LCM(62072,62081) = 3853491832
Least Common Multiple of 62072 and 62081 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62072 and 62081, than apply into the LCM equation.
GCF(62072,62081) = 1
LCM(62072,62081) = ( 62072 × 62081) / 1
LCM(62072,62081) = 3853491832 / 1
LCM(62072,62081) = 3853491832
Least Common Multiple (LCM) of 62072 and 62081 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62072 and 62081. First we will calculate the prime factors of 62072 and 62081.
Prime Factorization of 62072
Prime factors of 62072 are 2, 7759. Prime factorization of 62072 in exponential form is:
62072 = 23 × 77591
Prime Factorization of 62081
Prime factors of 62081 are 62081. Prime factorization of 62081 in exponential form is:
62081 = 620811
Now multiplying the highest exponent prime factors to calculate the LCM of 62072 and 62081.
LCM(62072,62081) = 23 × 77591 × 620811
LCM(62072,62081) = 3853491832
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