What is the Least Common Multiple of 62626 and 62631?
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 62626 and 62631 is 3922329006.
LCM(62626,62631) = 3922329006
Least Common Multiple of 62626 and 62631 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62626 and 62631, than apply into the LCM equation.
GCF(62626,62631) = 1
LCM(62626,62631) = ( 62626 × 62631) / 1
LCM(62626,62631) = 3922329006 / 1
LCM(62626,62631) = 3922329006
Least Common Multiple (LCM) of 62626 and 62631 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62626 and 62631. First we will calculate the prime factors of 62626 and 62631.
Prime Factorization of 62626
Prime factors of 62626 are 2, 173, 181. Prime factorization of 62626 in exponential form is:
62626 = 21 × 1731 × 1811
Prime Factorization of 62631
Prime factors of 62631 are 3, 6959. Prime factorization of 62631 in exponential form is:
62631 = 32 × 69591
Now multiplying the highest exponent prime factors to calculate the LCM of 62626 and 62631.
LCM(62626,62631) = 21 × 1731 × 1811 × 32 × 69591
LCM(62626,62631) = 3922329006
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