What is the Least Common Multiple of 62977 and 62995?
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 62977 and 62995 is 3967236115.
LCM(62977,62995) = 3967236115
Least Common Multiple of 62977 and 62995 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62977 and 62995, than apply into the LCM equation.
GCF(62977,62995) = 1
LCM(62977,62995) = ( 62977 × 62995) / 1
LCM(62977,62995) = 3967236115 / 1
LCM(62977,62995) = 3967236115
Least Common Multiple (LCM) of 62977 and 62995 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62977 and 62995. First we will calculate the prime factors of 62977 and 62995.
Prime Factorization of 62977
Prime factors of 62977 are 71, 887. Prime factorization of 62977 in exponential form is:
62977 = 711 × 8871
Prime Factorization of 62995
Prime factors of 62995 are 5, 43, 293. Prime factorization of 62995 in exponential form is:
62995 = 51 × 431 × 2931
Now multiplying the highest exponent prime factors to calculate the LCM of 62977 and 62995.
LCM(62977,62995) = 711 × 8871 × 51 × 431 × 2931
LCM(62977,62995) = 3967236115
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