What is the Least Common Multiple of 66761 and 66778?
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 66761 and 66778 is 4458166058.
LCM(66761,66778) = 4458166058
Least Common Multiple of 66761 and 66778 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66761 and 66778, than apply into the LCM equation.
GCF(66761,66778) = 1
LCM(66761,66778) = ( 66761 × 66778) / 1
LCM(66761,66778) = 4458166058 / 1
LCM(66761,66778) = 4458166058
Least Common Multiple (LCM) of 66761 and 66778 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66761 and 66778. First we will calculate the prime factors of 66761 and 66778.
Prime Factorization of 66761
Prime factors of 66761 are 101, 661. Prime factorization of 66761 in exponential form is:
66761 = 1011 × 6611
Prime Factorization of 66778
Prime factors of 66778 are 2, 173, 193. Prime factorization of 66778 in exponential form is:
66778 = 21 × 1731 × 1931
Now multiplying the highest exponent prime factors to calculate the LCM of 66761 and 66778.
LCM(66761,66778) = 1011 × 6611 × 21 × 1731 × 1931
LCM(66761,66778) = 4458166058
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