What is the Least Common Multiple of 62770 and 62776?
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 62770 and 62776 is 1970224760.
LCM(62770,62776) = 1970224760
Least Common Multiple of 62770 and 62776 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62770 and 62776, than apply into the LCM equation.
GCF(62770,62776) = 2
LCM(62770,62776) = ( 62770 × 62776) / 2
LCM(62770,62776) = 3940449520 / 2
LCM(62770,62776) = 1970224760
Least Common Multiple (LCM) of 62770 and 62776 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62770 and 62776. First we will calculate the prime factors of 62770 and 62776.
Prime Factorization of 62770
Prime factors of 62770 are 2, 5, 6277. Prime factorization of 62770 in exponential form is:
62770 = 21 × 51 × 62771
Prime Factorization of 62776
Prime factors of 62776 are 2, 7, 19, 59. Prime factorization of 62776 in exponential form is:
62776 = 23 × 71 × 191 × 591
Now multiplying the highest exponent prime factors to calculate the LCM of 62770 and 62776.
LCM(62770,62776) = 23 × 51 × 62771 × 71 × 191 × 591
LCM(62770,62776) = 1970224760
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