What is the Least Common Multiple of 62631 and 62651?
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 62631 and 62651 is 3923894781.
LCM(62631,62651) = 3923894781
Least Common Multiple of 62631 and 62651 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62631 and 62651, than apply into the LCM equation.
GCF(62631,62651) = 1
LCM(62631,62651) = ( 62631 × 62651) / 1
LCM(62631,62651) = 3923894781 / 1
LCM(62631,62651) = 3923894781
Least Common Multiple (LCM) of 62631 and 62651 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62631 and 62651. First we will calculate the prime factors of 62631 and 62651.
Prime Factorization of 62631
Prime factors of 62631 are 3, 6959. Prime factorization of 62631 in exponential form is:
62631 = 32 × 69591
Prime Factorization of 62651
Prime factors of 62651 are 31, 43, 47. Prime factorization of 62651 in exponential form is:
62651 = 311 × 431 × 471
Now multiplying the highest exponent prime factors to calculate the LCM of 62631 and 62651.
LCM(62631,62651) = 32 × 69591 × 311 × 431 × 471
LCM(62631,62651) = 3923894781
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