What is the Least Common Multiple of 62107 and 62120?
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 62107 and 62120 is 3858086840.
LCM(62107,62120) = 3858086840
Least Common Multiple of 62107 and 62120 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62107 and 62120, than apply into the LCM equation.
GCF(62107,62120) = 1
LCM(62107,62120) = ( 62107 × 62120) / 1
LCM(62107,62120) = 3858086840 / 1
LCM(62107,62120) = 3858086840
Least Common Multiple (LCM) of 62107 and 62120 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62107 and 62120. First we will calculate the prime factors of 62107 and 62120.
Prime Factorization of 62107
Prime factors of 62107 are 173, 359. Prime factorization of 62107 in exponential form is:
62107 = 1731 × 3591
Prime Factorization of 62120
Prime factors of 62120 are 2, 5, 1553. Prime factorization of 62120 in exponential form is:
62120 = 23 × 51 × 15531
Now multiplying the highest exponent prime factors to calculate the LCM of 62107 and 62120.
LCM(62107,62120) = 1731 × 3591 × 23 × 51 × 15531
LCM(62107,62120) = 3858086840
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