What is the Least Common Multiple of 62030 and 62044?
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 62030 and 62044 is 1924294660.
LCM(62030,62044) = 1924294660
Least Common Multiple of 62030 and 62044 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62030 and 62044, than apply into the LCM equation.
GCF(62030,62044) = 2
LCM(62030,62044) = ( 62030 × 62044) / 2
LCM(62030,62044) = 3848589320 / 2
LCM(62030,62044) = 1924294660
Least Common Multiple (LCM) of 62030 and 62044 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62030 and 62044. First we will calculate the prime factors of 62030 and 62044.
Prime Factorization of 62030
Prime factors of 62030 are 2, 5, 6203. Prime factorization of 62030 in exponential form is:
62030 = 21 × 51 × 62031
Prime Factorization of 62044
Prime factors of 62044 are 2, 15511. Prime factorization of 62044 in exponential form is:
62044 = 22 × 155111
Now multiplying the highest exponent prime factors to calculate the LCM of 62030 and 62044.
LCM(62030,62044) = 22 × 51 × 62031 × 155111
LCM(62030,62044) = 1924294660
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