What is the Least Common Multiple of 62962 and 62981?
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 62962 and 62981 is 3965409722.
LCM(62962,62981) = 3965409722
Least Common Multiple of 62962 and 62981 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62962 and 62981, than apply into the LCM equation.
GCF(62962,62981) = 1
LCM(62962,62981) = ( 62962 × 62981) / 1
LCM(62962,62981) = 3965409722 / 1
LCM(62962,62981) = 3965409722
Least Common Multiple (LCM) of 62962 and 62981 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62962 and 62981. First we will calculate the prime factors of 62962 and 62981.
Prime Factorization of 62962
Prime factors of 62962 are 2, 31481. Prime factorization of 62962 in exponential form is:
62962 = 21 × 314811
Prime Factorization of 62981
Prime factors of 62981 are 62981. Prime factorization of 62981 in exponential form is:
62981 = 629811
Now multiplying the highest exponent prime factors to calculate the LCM of 62962 and 62981.
LCM(62962,62981) = 21 × 314811 × 629811
LCM(62962,62981) = 3965409722
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