What is the Least Common Multiple of 62033 and 62037?
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 62033 and 62037 is 3848341221.
LCM(62033,62037) = 3848341221
Least Common Multiple of 62033 and 62037 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62033 and 62037, than apply into the LCM equation.
GCF(62033,62037) = 1
LCM(62033,62037) = ( 62033 × 62037) / 1
LCM(62033,62037) = 3848341221 / 1
LCM(62033,62037) = 3848341221
Least Common Multiple (LCM) of 62033 and 62037 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62033 and 62037. First we will calculate the prime factors of 62033 and 62037.
Prime Factorization of 62033
Prime factors of 62033 are 17, 41, 89. Prime factorization of 62033 in exponential form is:
62033 = 171 × 411 × 891
Prime Factorization of 62037
Prime factors of 62037 are 3, 61, 113. Prime factorization of 62037 in exponential form is:
62037 = 32 × 611 × 1131
Now multiplying the highest exponent prime factors to calculate the LCM of 62033 and 62037.
LCM(62033,62037) = 171 × 411 × 891 × 32 × 611 × 1131
LCM(62033,62037) = 3848341221
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